2832952320 has 704 divisors, whose sum is σ = 11602068480. Its totient is φ = 656916480.

The previous prime is 2832952279. The next prime is 2832952351. The reversal of 2832952320 is 232592382.

2832952320 is a `hidden beast` number, since 2 + 8 + 329 + 5 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123171829 + ... + 123171851.

Almost surely, 2^2832952320 is an apocalyptic number.

2832952320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2832952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801034240).

2832952320 is an abundant number, since it is smaller than the sum of its proper divisors (8769116160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2832952320 is an equidigital number, since it uses as much as digits as its factorization.

2832952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2832952320 is about 53225.4856248395. The cubic root of 2832952320 is about 1414.9673597252.

The spelling of 2832952320 in words is "two billion, eight hundred thirty-two million, nine hundred fifty-two thousand, three hundred twenty".